{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "0135d39e",
   "metadata": {},
   "source": [
    "## 采样定理"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3103c5c0",
   "metadata": {},
   "source": [
    "#### （注意在合适的位置补上奈奎斯特定律内容验证部分）"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c76a6ff3",
   "metadata": {},
   "source": [
    "构建信号$x_a(t)=sin(2\\pi\\times150t)+sin(2\\pi\\times3250t)+sin(2\\pi\\times400t)$ ，并用$f_{s1}=680Hz$,$f_{s2}=900Hz$,$f_{s3}=1000Hz$的采样频率对$x_a(t)$进行采样，分别画出时域信号和频域信号波形。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "30742813",
   "metadata": {},
   "source": [
    "- 导入使用的模块"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "65be0e32",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from math import *\n",
    "from scipy import fft\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a902fca7",
   "metadata": {},
   "source": [
    "- $fft（）$函数计算一维离散傅里叶变换\n",
    "\n",
    "- $fftshift（）$函数将零频率分量移动到频谱的中心\n",
    "\n",
    "- $fftfreq（）$ 函数返回离散傅里叶变换采样频率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "9c799318",
   "metadata": {},
   "outputs": [],
   "source": [
    "#define signal function\n",
    "def signfunc(f): \n",
    "    f1 = 150;f2 = 325;f3 = 400\n",
    "    t = np.arange(-0.02,0.02,1/f)\n",
    "    return t,np.sin(2*pi*f1*t)+np.sin(2*pi*f2*t)+np.sin(2*pi*f3*t)\n",
    "\n",
    "#original signal\n",
    "fa = 100000;ta,xa = signfunc(fa);N = len(xa)\n",
    "N0 = N*500\n",
    "\n",
    "#spectrum of the original signal\n",
    "He_a = np.abs(fft.fft(xa,N0))\n",
    "He_a = He_a/np.max(He_a)\n",
    "freq_a = fft.fftfreq(N0,1/fa)\n",
    "He_a = fft.fftshift(He_a);freq_a = fft.fftshift(freq_a)\n",
    "\n",
    "#Define the sampled spectral synthesis function\n",
    "def samp_spec(f_samp,f_anal,He,m): \n",
    "    N = len(He)\n",
    "    M = int((f_samp*N/f_anal)*(m-1)+N) #length of the synthesized spectrum\n",
    "    He_retn = np.append(He,np.zeros(M-N))\n",
    "    for i in range(m-1):\n",
    "        N_fron = int((f_samp*N/f_anal)*(i+1))\n",
    "        He_fron = np.zeros(N_fron)\n",
    "        He_midd = np.append(He_fron,He)\n",
    "        He_back = np.zeros(M-N_fron-N)\n",
    "        He_shift = np.append(He_midd,He_back)\n",
    "        He_retn = He_retn+He_shift\n",
    "    freq = fft.fftfreq(M,1/f_anal)\n",
    "    freq = fft.fftshift(freq)\n",
    "    return freq,He_retn"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dbf4a371",
   "metadata": {},
   "source": [
    "- 对原始信号进行采样"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1fcc5876",
   "metadata": {},
   "outputs": [],
   "source": [
    "fs1 = 680;fs2 = 900;fs3 = 1000\n",
    "m = 5 #Spectrum shifts\n",
    "t1,x_hat1 = signfunc(fs1);t2,x_hat2 = signfunc(fs2);t3,x_hat3 = signfunc(fs3)\n",
    "freq1,He1 = samp_spec(fs1,fa,He_a,m)\n",
    "freq2,He2 = samp_spec(fs2,fa,He_a,m)\n",
    "freq3,He3 = samp_spec(fs3,fa,He_a,m)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55719029",
   "metadata": {},
   "source": [
    "- 绘制原信号及各采样信号的时域波形"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "567d40d5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax = plt.subplots(4,1,constrained_layout=True)\n",
    "ax[0].plot(ta,xa);ax[1].stem(t1,x_hat1,basefmt=\"\")\n",
    "ax[2].stem(t2,x_hat2,basefmt=\"\");ax[3].stem(t3,x_hat3,basefmt=\"\")\n",
    "ax[0].set_ylim([-3,3]);ax[1].set_ylim([-3,3])\n",
    "ax[2].set_ylim([-3,3]);ax[3].set_ylim([-3,3])\n",
    "ax[0].set_title('原始信号,680Hz,900Hz,1000Hz采样后时域波形')\n",
    "ax[3].set_xlabel('t/s')\n",
    "plt.rcParams['font.sans-serif']=['SimHei'] #Display Chinese labels normally\n",
    "plt.rcParams['axes.unicode_minus'] = False #Display minus sign\n",
    "fig.savefig('./freq_samp1.png',dpi=500)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b4f7a463",
   "metadata": {},
   "source": [
    "- 绘制原信号及各采样信号的幅度响应"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "6eeacdfb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax = plt.subplots(4,1,constrained_layout=True)\n",
    "ax[0].plot(freq_a,He_a);ax[1].plot(freq1,He1)\n",
    "ax[2].plot(freq2,He2);ax[3].plot(freq3,He3)\n",
    "ax[0].set_xlim([-1000,1000]);ax[1].set_xlim([-1000,1000]);\n",
    "ax[2].set_xlim([-1000,1000]);ax[3].set_xlim([-1000,1000]);\n",
    "ax[0].set_title('原始信号,680Hz,900Hz,1000Hz采样后频域波形')\n",
    "ax[3].set_xlabel('frequenc/Hz')\n",
    "plt.rcParams['font.sans-serif']=['SimHei'] #Display Chinese labels normally\n",
    "plt.rcParams['axes.unicode_minus'] = False #Display minus sign\n",
    "fig.savefig('./freq_samp2.png',dpi=500)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "887a02a4",
   "metadata": {},
   "source": [
    "可以看出，由于680Hz的采样频率不满足采样定理，采样后的信号频谱发生了混叠。"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
